Parent Functions
Translations
Mixed 1
Mixed 2
Mixed 3
100
Name the parent function.
f(x)=\sqrt { x+3 } -7
Square Root Function
100
Describe the translation.
f(x)=x^2-4
Shift Down 4
100
Name the transformation.
f(x)=2x^2
Stretch vertically by a factor of 2.
100
Name the transformations.
f(x)=(x-2)^2+5
Shift right 2, up 5
100
Name the transformations.
f(x)=2|x+12|
Vertical stretch by a factor of 2, horizontal shift left 12.
200
Name the parent function.
Exponential
200
Describe the translation.
f(x)=(x-2)^2+4
Shift Right 2 and Up 4
200
Name the transformation.
f(x)=|x-2|+6
Right by 2, up by 6
200
Name the transformations.
f(x)=2(x-1)^2
Vertical stretch by a factor of 2, horizontal shift right 1
200
Name the transformations.
f(x)=3/2(x)^2+1
vertical stretch by a factor of 3/2, vertical shift up 1.
300
Name the parent function.
f(x)=|x+4|-2
absolute value function
300
Describe the translation.
f(x)=log(x+2)
Shift Left 2
300
Name the transformation.
f(x)=-2|x|
Reflection over the x-axis and vertical stretch by a factor of 2.
300
Describe the transformations.
f(x)=-1/4x^2-6
Reflection over the x-axis, vertical compression by a factor of 1/4, and vertical shift down 6.
300
Name the transformations.
f(x)=1/4(x-1)^3-5/2
Vertical compression by a factor of 1/4, horizontal shift right 1, vertical shift down 5/2
400
Name the parent function.
Reciprocal Function
400
Describe the translation.
f(x)=|x-1/2|+0.75
Shift Right 1/2 and Up 0.75
400
Name the transformation.
f(x)=-1/2|x|
Reflection over the x-axis and vertical compression by a factor of 1/2.
400
Name the transformations.
f(x)=2sqrt(x)-9
Vertical stretch by a factor of 2 and vertical shift down 9.
400
Name the transformations.
f(x)=2sin(x-pi)
Vertical stretch by a factor of 2, shift right by pi.
500
Name the parent function.
f(x)=\frac { 1 }{ 2 } x+7
Linear Function
500
Describe the translation.
f(x)=3^(x-4)+7
Shift Right 4 and Up 7
500
Name the transformations.
f(x)=2(x)^2-5
Vertical stretch by a factor of 2, down by 5
500
Name the transformations.
f(x)=1/5log(x)-8
Vertical shrink by a factor of 1/5 and a vertical shift down 8.
500
Name the transformations.
f(x)=cosh(x-e)+pi
Horizontal shift right e, vertical shift up pi.